# Ideas for Progress: Mathematics, Range 16–19

To enhance their skills in each mathematics-related strand, students who score in the 16–19 score range on the ACT® college readiness assessment may benefit from activities that encourage them to do the following:

Number and Quantity apply elementary number concepts, including identifying patterns pictorially and numerically (e.g., triangular numbers, arithmetic and geometric sequences), ordering integers, and identifying factors of whole numbers recognize, identify, and apply basic properties of real numbers (e.g., commutative, associative, identities) describe the distance between zero and a point on the number line measure and describe, with appropriate units, the distance between two points arrange data into meaningful arrays identify the dimensions of a matrix solve routine mathematical problems that involve rates, proportions, and percents model real-world and mathematical problems that contain verbal and symbolic representations of money do multistep computations with rational numbers generate expressions using combinations of symbols and numbers describe real-world and mathematical problems associated with incremental change by using rate and/or slope language (e.g., feet per second, dollars per hour, change in y over change in x) evaluate algebraic expressions and solve simple equations, using integers multiply two simple monomials apply the distributive property to multiply a simple monomial by a binomial recognize functions as mappings of an independent variable into a dependent variable distinguish between domain and range use function notation to create equations that model real-world and mathematical problems evaluate polynomial functions that use function notation describe angles and triangles using mathematical terminology, and apply their properties use angle relationships (e.g., complementary, adjacent, vertical) to find measures of unknown angles sketch and identify the midpoint of a line segment find area and perimeter of triangles and rectangles by substituting given values into standard geometric formulas describe movement in the coordinate plane using positive and negative values read and interpret data and use appropriate measures of central tendency to find unknown values gather, organize, display, and analyze data in a variety of ways for use in problem solving use a variety of strategies (e.g., fundamental counting principle) to determine possible outcomes for simple events conduct simple probability experiments, and represent results using different displays (e.g., tree diagrams, organized lists)